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We introduce a rejection-free, flat histogram, cluster algorithm to determinethe density of states of hard-core lattice gases. We show that the algorithm isable to efficiently sample low entropy states that are usually difficult toaccess, even when the excluded volume per particle is large. The algorithm isbased on simultaneously evaporating all the particles in a strip andreoccupying these sites with a new appropriately chosen configuration. Weimplement the algorithm for the particular case of the hard-core lattice gas inwhich the first k next-nearest neighbors of a particle are excluded from beingoccupied. It is shown that the algorithm is able to reproduce the known resultsfor k = 1,2,3 both on the square and cubic lattices. We also show that, incomparison, the corresponding flat histogram algorithms with either local movesor unbiased cluster moves are less accurate and do not converge as the systemsize increases.

Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases